Nonlinear evolution equation with variable coefficient G'/G expansion solution
- 1. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China
- Received Date:
- Accepted Date:
- Available Online:
Project supported by the Doctoral Unit Foundation of Ministry of Education of China (Grant No. 20070128001), the Natural Science Foundation of Inner Mongolia, China (Grant No. 2010MS0115), and the Natural Science Foundation of Inner Mongolia University of Technology, China (Grant No. ZS201035).
Abstract: In this paper, the (G'/G)-expansion method is used to solve the two kinds of nonlinear KdV equations with variable coefficients for the first time. And some new exact solutions are obtained successfully. It is proved that the (G'/G)-expansion method is not only appropriate for solving nonlinear evolution equations with constant coefficients but also excellently applicable to the nonlinear evolution equations with variable coefficients, and it also has a broad application prospect.